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Finding the Fourth Proportional to 11,237, 16,863.06 and 6,737.72

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Solution

The fourth proportional to 11,237, 16,863.06 and 6,737.72 is: 10,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237 : 16,863.06 = 6,737.72 : x
  2. Step 2: Convert to fraction form
    11,237/16,863.06 = 6,737.72/x
  3. Step 3: Cross multiply
    11,237x = 16,863.06 × 6,737.72
  4. Step 4: Simplify right side
    11,237x = 113,618,576.62
  5. Step 5: Solve for x
    x = 113,618,576.62/11,237
  6. Step 6: Final answer
    x = 10,111.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.